9815066460 has 168 divisors, whose sum is σ = 32248046880. Its totient is φ = 2503467648.

The previous prime is 9815066453. The next prime is 9815066489. The reversal of 9815066460 is 646605189.

9815066460 is a `hidden beast` number, since 9 + 81 + 50 + 66 + 460 = 666.

It is a super-2 number, since 2×9815066460² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 320706 + ... + 349974.

It is an arithmetic number, because the mean of its divisors is an integer number (191952660).

Almost surely, 2^9815066460 is an apocalyptic number.

9815066460 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9815066460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16124023440).

9815066460 is an abundant number, since it is smaller than the sum of its proper divisors (22432980420).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9815066460 is a wasteful number, since it uses less digits than its factorization.

9815066460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29319 (or 29302 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 9815066460 is about 99071.0172553003. The cubic root of 9815066460 is about 2141.0710610773.

The spelling of 9815066460 in words is "nine billion, eight hundred fifteen million, sixty-six thousand, four hundred sixty".